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sara_87
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Question:
Use the laws of set algebra to show that for the sets X,Y,Z:
a) X + X’Y + ZX’ = X + Y + Z
b) XY + X’Y’ + X’Y + XY’ = U
c) Z’(X + Y’)(X’ +Z) = (X + Y’ + Z)’
d) XYZ + X’ + Y’ + Z’ = U
Answer:
I can prove these using venn diagrams but what are the laws of set algebra?
also U means the union of X, Y and Z...no?
Use the laws of set algebra to show that for the sets X,Y,Z:
a) X + X’Y + ZX’ = X + Y + Z
b) XY + X’Y’ + X’Y + XY’ = U
c) Z’(X + Y’)(X’ +Z) = (X + Y’ + Z)’
d) XYZ + X’ + Y’ + Z’ = U
Answer:
I can prove these using venn diagrams but what are the laws of set algebra?
also U means the union of X, Y and Z...no?